Ano ang x-at y-intercepts ng parisukat equation y = 2x ^ 2 - 8x + 6?

Sagot:

y-intercept: #(0,6)#

x-intercepts: #(1,0)# at #(3,0)#

Paliwanag:

1) Upang mahanap ang y-maharang, itakda # x = 0 # at malutas para sa # y #:

#y = 2x ^ {2} - 8x + 6 #

#y = 2 (0) ^ {2} - 8 (0) + 6 #

#y = 0 - 0 + 6 #

#y = 6 #

y-intercept: #(0,6)#

2) Upang mahanap ang x-intercepts, itakda # y = 0 # at malutas para sa # x #:

#y = 2x ^ {2} - 8x + 6 #

# (0) = 2x ^ {2} - 8x + 6 #

# 0 = x ^ {2} - 4x + 3 #

# 0 = (x-1) (x-3) #

# 0 = (x-1) # at # 0 = (x-3) #

# 1 = x # at # 3 = x #

x-intercepts: #(1,0)# at #(3,0)#